This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.
%I A371680 #8 Apr 03 2024 11:12:37 %S A371680 1,4,44,648,10960,200992,3886928,78043488,1611405504,33998715264, %T A371680 729793915264,15886841223936,349900041893376,7782694227059712, %U A371680 174573007616191744,3944500600180286976,89696369377912622080,2051147782339517224960 %N A371680 G.f. satisfies A(x) = ( 1 + x * A(x)^2 * (1 + A(x)) )^2. %F A371680 G.f.: B(x)^2 where B(x) is the g.f. of A363380. %F A371680 a(n) = Sum_{k=0..n} binomial(n,k) * binomial(4*n+2*k+2,n)/(2*n+k+1). %o A371680 (PARI) a(n, r=2, t=4, u=2) = r*sum(k=0, n, binomial(n, k)*binomial(t*n+u*k+r, n)/(t*n+u*k+r)); %Y A371680 Cf. A363380, A371693. %K A371680 nonn %O A371680 0,2 %A A371680 _Seiichi Manyama_, Apr 02 2024